104163646070016 has 1008 divisors, whose sum is σ = 348235381907280. Its totient is φ = 30872685772800.

The previous prime is 104163646069969. The next prime is 104163646070047. The reversal of 104163646070016 is 610070646361401.

104163646070016 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 36 + 4 + 607 + 0 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3307742438400 + 100855903631616 = 1818720^2 + 10042704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9066374800 + ... + 9066386288.

It is an arithmetic number, because the mean of its divisors is an integer number (345471609035).

Almost surely, 2^{104163646070016} is an apocalyptic number.

104163646070016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104163646070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174117690953640).

104163646070016 is an abundant number, since it is smaller than the sum of its proper divisors (244071735837264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104163646070016 is a wasteful number, since it uses less digits than its factorization.

104163646070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11674 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 104163646070016 in words is "one hundred four trillion, one hundred sixty-three billion, six hundred forty-six million, seventy thousand, sixteen".